What is the Greatest Common Factor of 68385 and 68403?

Greatest common factor (GCF) of 68385 and 68403 is 3.

GCF(68385,68403) = 3

We will now calculate the prime factors of 68385 and 68403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68385 and 68403.

How to find the GCF of 68385 and 68403?

We will first find the prime factorization of 68385 and 68403. After we will calculate the factors of 68385 and 68403 and find the biggest common factor number .

Step-1: Prime Factorization of 68385

Prime factors of 68385 are 3, 5, 47, 97. Prime factorization of 68385 in exponential form is:

68385 = 3¹ × 5¹ × 47¹ × 97¹

Step-2: Prime Factorization of 68403

Prime factors of 68403 are 3, 151. Prime factorization of 68403 in exponential form is:

68403 = 3¹ × 151²

Step-3: Factors of 68385

List of positive integer factors of 68385 that divides 68385 without a remainder.

1, 3, 5, 15, 47, 97, 141, 235, 291, 485, 705, 1455, 4559, 13677, 22795

Step-4: Factors of 68403

List of positive integer factors of 68403 that divides 68385 without a remainder.

1, 3, 151, 453, 22801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68385 and 68403. The biggest common factor number is the GCF number.
So the greatest common factor 68385 and 68403 is 3.

Also check out the Least Common Multiple of 68385 and 68403